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Finding the Fourth Proportional to 549,878.84, 824,884.14 and 194,820.20

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Solution

The fourth proportional to 549,878.84, 824,884.14 and 194,820.20 is: 292,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,878.84 : 824,884.14 = 194,820.20 : x
  2. Step 2: Convert to fraction form
    549,878.84/824,884.14 = 194,820.20/x
  3. Step 3: Cross multiply
    549,878.84x = 824,884.14 × 194,820.20
  4. Step 4: Simplify right side
    549,878.84x = 160,704,093,131.63
  5. Step 5: Solve for x
    x = 160,704,093,131.63/549,878.84
  6. Step 6: Final answer
    x = 292,253.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.